Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills

✍ Scribed by Paul J. Nahin

• Publisher: Princeton University Press
• Year: 2011
• Tongue: English
• Leaves: 415
• Series: Princeton Science Library; 52
• Edition: With a New preface by the author
• Category: Library

✦ Synopsis

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

✦ Table of Contents

Contents
Preface to the Paperback Edition
Preface
Introduction
Chapter 1. Complex Numbers
Chapter 2. Vector Trips
Chapter 3. The Irrationality of π²
Chapter 4. Fourier Series
Chapter 5. Fourier Integrals
Chapter 6. Electronics and √ −1
Euler: The Man and the Mathematical Physicist
Notes
Acknowledgments
Index